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Finding the Fourth Proportional to 10,447.71, 15,660.63 and 4,896.38

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Solution

The fourth proportional to 10,447.71, 15,660.63 and 4,896.38 is: 7,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.71 : 15,660.63 = 4,896.38 : x
  2. Step 2: Convert to fraction form
    10,447.71/15,660.63 = 4,896.38/x
  3. Step 3: Cross multiply
    10,447.71x = 15,660.63 × 4,896.38
  4. Step 4: Simplify right side
    10,447.71x = 76,680,395.52
  5. Step 5: Solve for x
    x = 76,680,395.52/10,447.71
  6. Step 6: Final answer
    x = 7,339.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.